As teased in the official trailers, it looks like "Battle in 5 Seconds After Meeting" will closely follow the manga. In the opening scene of the latest trailer, we see that Kei is bored by his daily life and wants a game that will help him forget it. Apparently, he's never heard of the adage of being careful of particular wishes because suddenly, he finds himself handcuffed in a room and now a participant in an experimental test by some shadowy organization. As the official anime website notes, he and every other participant are officially dead as far as the real world is concerned.
The trailer shows that Kei is confident in this real-life test if it's treated as a game. After all, in the manga, Kei is so good at games that his opponents rage quit. The official anime website states that Kei decides to use his ability to win the test and destroy the organization. And that's the direction the anime series will follow. It looks like it will also provide glimpses as to how the rest of the cast got involved with Mion's organization and how they got their powers. There's no official word yet on how many episodes "Battle in 5 Seconds" is, but with 16 volumes of the manga, there's plenty of story to use.